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1363216848 = 243722292531
BaseRepresentation
bin101000101000001…
…0000100111010000
310112000010120221220
41101100100213100
510242440414343
6343134245040
745532103100
oct12120204720
93460116856
101363216848
1163a555aa4
12320656780
131895701b6
14cd099200
157ea2b183
hex514109d0

1363216848 has 120 divisors (see below), whose sum is σ = 4116120480. Its totient is φ = 387636480.

The previous prime is 1363216843. The next prime is 1363216849. The reversal of 1363216848 is 8486123631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363216843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537343 + ... + 539873.

It is an arithmetic number, because the mean of its divisors is an integer number (34301004).

Almost surely, 21363216848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363216848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058060240).

1363216848 is an abundant number, since it is smaller than the sum of its proper divisors (2752903632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1363216848 is a wasteful number, since it uses less digits than its factorization.

1363216848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2772 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1363216848 is about 36921.7665882877. The cubic root of 1363216848 is about 1108.8045046241.

The spelling of 1363216848 in words is "one billion, three hundred sixty-three million, two hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 229 294 336 392 458 588 687 784 916 1176 1374 1603 1832 2352 2531 2748 3206 3664 4809 5062 5496 6412 7593 9618 10124 10992 11221 12824 15186 17717 19236 20248 22442 25648 30372 33663 35434 38472 40496 44884 53151 60744 67326 70868 76944 89768 106302 121488 124019 134652 141736 179536 212604 248038 269304 283472 372057 425208 496076 538608 579599 744114 850416 992152 1159198 1488228 1738797 1984304 2318396 2976456 3477594 4057193 4636792 5952912 6955188 8114386 9273584 12171579 13910376 16228772 24343158 27820752 28400351 32457544 48686316 56800702 64915088 85201053 97372632 113601404 170402106 194745264 227202808 340804212 454405616 681608424 1363216848